Zhumaliev A.G., Khrapov S.S. A numerical scheme based on the combined SPH-TVD approach: simulation of the shock front

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Zhumaliev Artur Galievich
 
Post-Graduate Student, Chair of Information Systems and Computer Simulations, Volgograd State University
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation
 
Khrapov Sergey Sergeevich
 
Candidate of Physics and Mathematics, Associate Professor, Chair of Information Systems and Computer Simulations, Volgograd State University 
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. The results of numerical simulation based on the new numerical scheme cSPH–TVD are considered. The numerical scheme cSPH–TVD is developed for simulation of gas dynamics within astrophysical environments. The stability of the numerical solutions with strong shocks is investigated.

Key words: numerical simulation, numerical schemes in gas dynamics, shock waves, SPH, TVD, limiter functions.

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A numerical scheme based on the combined SPH-TVD approach: simulation of the shock front by Zhumaliev A.G., Khrapov S.S. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №2 (17) 2012 pp. 60-67

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